o:3264 Napredni gradijentni algoritmi za rešavanje problema bezuslovne optimizacije i nelinearnih monotonih sistema jednačina velikih dimenzija Advanced gradient algorithms for solving unconstrained optimization problems and monotonic nonlinear systems of equations of large dimensions : doctoral dissertation sr The doctoral dissertation presents new efficient algorithms for solvingunconstrained optimization problems and monotonic nonlinearsystems of equations. The new algorithms are representatives of theclasses of gradient and conjugate gradient algorithms. Thedissertation presents six new gradient algorithms: two from the classof modified accelerated gradient methods, two from the class ofhybrid modified gradient methods, and two algorithms as aconsequence of the multiple use of line search in gradient methods.From the class of conjugate gradient algorithms, one new three-termmethod, two new mixed conjugate gradient methods, and two newconjugate gradient methods of the Dai-Liao type are presented. Whenit comes to solving systems of nonlinear monotonic equations of largedimensions, a new Dai-Liao type method with improved parameters ispresented. Also, the dissertation presents gradient algorithms forsolving unconstrained optimization problems based on neutrosophy.The convergence analysis and numerical testing of new iterativeschemes confirm the theoretical and practical significance of newgradient and conjugate gradient methods and their algorithms. Theapplication of gradient and conjugate gradient algorithms is given in2D robotic motion control, image restoration processes, andregression analysis. Bibliografija sa biografijom: str. 215-233. Datum odbrane: 15.10.2025. Computer science and numerical methods; Operational research 91552100 178805257 91552101 8824 2026-04-29T09:23:43.053Z 45 no 46 Branislav, 1983- Ivanov 54029065 2025 63 član komisije Gradimir V., 1948- Milovanović 13802343 2025 63 mentor Predrag, 1959- Stanimirović 13819239 2025 63 član komisije Marko, 1979- Miladinović 28396391 2025 63 član komisije Dragiša, 1964- Stanujkić 9526119 2025 63 član komisije Predrag M., 1959- Rajković 8472167 2025 233 str. 11602630 http://phaidrani.ni.ac.rs/o:3264 no yes 12 2026-04-29T09:23:43.320Z 70 nelinearna optimizacija, matematičko programiranje,algoritmi, gradijentni metodi, konjugovano gradijentni metodi,metodi linijskog pretraživanja, sistemi nelinearnihmonotonih jednačina, neutrosofija nonlinear optimization, mathematical programming, algorithms,gradient methods, conjugate gradient methods, line search methods,systems of monotone nonlinear equations, neutrosophy 004+[005.31+519.6](043.3) P160; P170 1738 18A07 18A0701 2025